Cycle structure of random permutations with cycle weights |
| |
| Authors: | Nicholas M. Ercolani Daniel Ueltschi |
| |
| Affiliation: | 1. Department of Mathematics, The University of Arizona, , Tucson, Arizona, 85721‐0089;2. Department of Mathematics, University of Warwick, , Coventry, CV4 7AL UK |
| |
| Abstract: | We investigate the typical cycle lengths, the total number of cycles, and the number of finite cycles in random permutations whose probability involves cycle weights. Typical cycle lengths and total number of cycles depend strongly on the parameters, while the distributions of finite cycles are usually independent Poisson random variables.Copyright © 2012 Wiley Periodicals, Inc. Random Struct. Alg., 44, 109‐133, 2014 |
| |
| Keywords: | random permutations Ewens distribution cycle weights cycle structure |
|
|
